Type Of Angle Made By Parallel Lines Cut By Transversal

Parallel Lines

Lines in a plane that do not intersect or touch each other at any point i.e distance between two lines is always equal are said to be parallel lines. The symbol for “parallel to” is ||.Here you will get help to understand Type Of Angle Made By Parallel Lines Cut By Transversal with basic concepts, examples, etc.

 

TYPES OF ANGLE MADE BY PARALLEL LINES CUT BY TRANSVERSAL
Parallel lines

TYPES OF ANGLE MADE BY PARALLEL LINES CUT BY TRANSVERSAL

When any two parallel lines are cut by a transversal line. The angles formed are marked as ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, ∠8. you can understand it by seeing image below where lines P & lines Q are parallel to each other & line O is transversal line.

TYPES OF ANGLE MADE BY PARALLEL LINES CUT BY TRANSVERSAL
two parallel lines P & Q cut by transversal O line

Here, P and Q are two parallel lines and O is transversal line.

Note:

Type Of Angle Made By Parallel Lines Cut By Transversal Line

From the above image:

Types of Angles

Angles

Interior Angles

∠3, ∠4, ∠5, ∠6

Exterior Angles

∠1, ∠2, ∠7, ∠8

Vertically opposite Angles

(∠1, ∠3), (∠2, ∠4), (∠5, ∠7), (∠6, ∠8)

Corresponding Angles

(∠1, ∠5), (∠2, ∠6), (∠3, ∠7), (∠4, ∠8)

Alternate Interior Angles

(∠3, ∠5), (∠4, ∠6)

Alternate Exterior Angles

(∠1, ∠7), (∠2, ∠8)

Consecutive interior angles

(∠3, ∠6), (∠4, ∠5)

Properties of Parallel Lines

If two parallel lines are cut by a transversal, then

• Corresponding angles is equal.
(∠1 = ∠5), (∠2 = ∠6), (∠3 = ∠7), (∠4 = ∠8)

• Alternate Interior Angles are equal.
(∠3 = ∠5), (∠4 = ∠6)

• Alternate Exterior Angles are equal
(∠1 = ∠7), (∠2 = ∠8)

• Consecutive Interior Angles are supplementary.
∠3 + ∠6 = 180 , ∠4 + ∠5= 180

Note:
• The F-shape shows corresponding angles.
• The Z-shape shows alternate interior angles.
• The angles that fall on the same sides of a transversal and between the parallels is called corresponding angles.
• The angles that fall on alternate sides of a transversal and between the parallels is called alternate exterior angles.

I hope, this article will help you lot to understand the Type Of Angle Made By Parallel Lines Cut By Transversal in solving various problems related to this article, if you still have any doubts related to this article, you can ask it into the comment section. If you have any problem in any topic of mathematics you can post your problem in the comment section. You will get a reply shortly.

Related Topic:

Introduction to Angles and Types of Angles

Leave a Reply

Your email address will not be published. Required fields are marked *